A monochromatic light is incident on a single slit of width 0.014 mm. The angular position of the second bright line observed is 2.81^ . Then the wavelength of the incident light is [ ( sin ⁡ (2.81^…

Question

A monochromatic light is incident on a single slit of width 0.014 mm. The angular position of the second bright line observed is 2.81^ . Then the wavelength of the incident light is [ ( sin ⁡ (2.81^ )=0.049072)

Accepted Answer

Correct answer: D. (d) We have for n^ th maxima asin ⁡ = (2n+1 ) 2 ⇒ = 2 asin ⁡ (2n+1 ) ⇒ = 2 0.014 10^-3 sin ⁡ (2.81 ) (2 2+1 )=2748Å

$A monochromatic light is incident on a single slit of width 0.014 mm . The angular position of the second bright line observed is 2.81^{\circ} . Then the wavelength of the incident light is [(sin (2.81^{\circ}) = 0.049072)$

Solution

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